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When you divide a fraction less than 1 by a whole number greater than 1 , is the quotient less than, greater than, or equal to the dividend?

Ask by Stuart Gough. in the United States
Feb 25,2025

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Answer

When you divide a fraction less than 1 by a whole number greater than 1, the result is less than the original fraction.

Solution

When you divide a fraction that is less than 1 by a whole number greater than 1, the quotient will be less than the dividend. For example, take the fraction 1/2. If you divide 1/2 by 2, you get 1/4. Since 1/4 is less than 1/2, the quotient is smaller than the original fraction. The reason this happens is that dividing by a number greater than 1 effectively splits the fraction into smaller parts, making each part smaller than the fraction you started with.

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Bonus Knowledge

When you divide a fraction less than 1 by a whole number greater than 1, the quotient will always be less than the dividend. For example, if you take the fraction 1/4 and divide it by 2, the result is 1/8, which is indeed less than 1/4. This is because dividing by a whole number essentially reduces the value of the fraction even further. A common mistake that people make is forgetting that dividing by a number greater than 1 will always yield a smaller result when dealing with fractions less than 1. Remember that in division, you are essentially sharing or distributing the fraction into smaller pieces, so it’s key to visualize that each piece becomes smaller than the original fraction!

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